Solve -2/3*7/10+1/6

$$- \frac{ 2 }{ 3 } \times \frac{ 7 }{ 10 } + \frac{ 1 }{ 6 }$$

Evaluate

$$-\frac{3}{10}=-0.3$$

Solution Steps

Multiply -\frac{2}{3} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 7}{3\times 10}+\frac{1}{6}$$

Do the multiplications in the fraction \frac{-2\times 7}{3\times 10}.

$$\frac{-14}{30}+\frac{1}{6}$$

Reduce the fraction \frac{-14}{30} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{15}+\frac{1}{6}$$

Least common multiple of 15 and 6 is 30. Convert -\frac{7}{15} and \frac{1}{6} to fractions with denominator 30.

$$-\frac{14}{30}+\frac{5}{30}$$

Since -\frac{14}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{-14+5}{30}$$

Add -14 and 5 to get -9.

$$\frac{-9}{30}$$

Reduce the fraction \frac{-9}{30} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{10}$$

Factor

$$-\frac{3}{10} = -0.3$$